## Abstract We have classified by computer the projectively distinct complete (**__k__**, **3**)‐arcs in **PG**(**2**, **__q__**), **__q__**≤**13**. The algorithm used is an application of isomorph‐free backtracking using canonical augmentation, an adaptation of our earlier algorithms for the gener
Note on the order of magnitude of k for complete k-arcs in PG(2,q)
✍ Scribed by Tamás Szőnyi
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 220 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A full classification (up to equivalence) of all complete k-arcs in the Desarguesian projective planes of order 27 and 29 was obtained by computer. The resulting numbers of complete arcs are tabulated according to size of the arc and type of the automorphism group, and also according to the type of
## Abstract A full classification (up to equivalence) of all complete __k__‐arcs in the Desarguesian projective planes of order 23 and 25 was obtained by computer. The algorithm used is an application of isomorph‐free backtracking using canonical augmentation, as introduced by McKay, which we have
The automorphism group of the set of 12 points associated with an apolar system of conics is determined. A complete (q -&arc for q = 13 can be obtained as a special case. The orbits of its automorphism group are also described. 0 I Y Y ~ John Wile?. & Sons, h e .
A graph is constructed to provide a negative answer to the following question of Bondy: Does every diconnected orientation of a complete k-partite (k 2 5) graph with each part of size at least 2 yield a directed (k + 1)-cycle?